Three identical horizontal rods AB, CD and EF each of length 2m are on a smooth horizontal surface. Rod CD is at rest while the rods AB and EF are purely translating with equal and opposite velocities of magnitude 5 m/s.The ends B and E collide simultaneously with the ends C and D respectively, and the rods rigidly join just after the collisions.Find the angular speed of the system in rad/s just after the collision.

Explanation

Applying conservation of the angular momentum of the system of three rods about midpoint of the rod CD
`=mxx5xx1+mxx5xx1=[2((m2^(2))/12+m(sqrt(2))^(2))+(m2^(2))/12]rArr omega=30/15=2 rad//sec`